Computer System for Simulating Physical Process Using Lattice Boltzmann based Scalar Transport Enforcing Galilean Invariance for Scalar Transport

2. The method of claim 1 wherein the non-equilibrium post-collide scalar distribution function is Galilean invariant.

3. The method of claim 1 wherein the non-equilibrium post-collide scalar distribution function is related to relative velocity of the flow particles in the volume of fluid.

4. The method of claim 1 wherein the movement of the scalar particles causing collisions among the scalar particles results in a diffusion of scalar quantity through the volume of fluid.

6. The method of claim 1 wherein the non-equilibrium post-collide scalar distribution function retains non-equilibrium moments for the scalar quantity, and eliminates non-equilibrium moments for the scalar quantity higher than the specified order that is representative of the scalar collisions.

7. The method of claim 1 wherein the scalar lattice velocity set supports hydrodynamic movements up to the specified order that is representative of the scalar collisions.

8. The method of claim 7 wherein the specified order that is representative of the scalar collisions is an exponential value associated with a ratio of the fluid velocity to lattice sound speed and the scalar lattice velocity set supports the exponential value.

9. The method of claim 7 wherein the specified order that is representative of the scalar collisions is selected from a zeroth order, a first order, and a second order.

11. The method of claim 1 wherein for fluid flows of a macroscopic regime, the specified order is a first order moment proportional to a gradient of the scalar particles.

13. The computer system of claim 12 wherein the non-equilibrium post-collide scalar distribution function is Galilean invariant.

14. The computer system of claim 12 wherein the non-equilibrium post-collide scalar distribution function is related to relative velocity of the flow particles in the volume of fluid.

15. The computer system of claim 12 wherein the movement of the scalar particles causing collisions among the scalar particles results in a diffusion of scalar quantity through the volume of fluid.

18. The computer program product of claim 17 wherein the non-equilibrium post-collide scalar distribution function is Galilean invariant.

19. The computer program product of claim 17 wherein the non-equilibrium post-collide scalar distribution function is related to relative velocity of the flow particles in the volume of fluid.

20. The computer program product of claim 17 wherein the movement of the scalar particles causing collisions among the scalar particles results in a diffusion of scalar quantity through the volume of fluid.